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Finding the Fourth Proportional to 564.17, 846.11 and 198.82

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Solution

The fourth proportional to 564.17, 846.11 and 198.82 is: 298.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.17 : 846.11 = 198.82 : x
  2. Step 2: Convert to fraction form
    564.17/846.11 = 198.82/x
  3. Step 3: Cross multiply
    564.17x = 846.11 × 198.82
  4. Step 4: Simplify right side
    564.17x = 168,225.14
  5. Step 5: Solve for x
    x = 168,225.14/564.17
  6. Step 6: Final answer
    x = 298.18

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